A discussion is made for the case of nanocomposites, and the size dependency of the nanosized inclusions in terms of inclusion—matrix interface properties. Using the concept of ‘interface—interphase,’ the molecular mechanics model is suggested for obtaining the interfacial stiffness. Illustration is made herein for the case of nylon-6 with montmorillonite (MMT) reinforcement. MMT is a nanoscale clay platelet that has been recently shown to significantly enhance the composite’s modulus.
Carroll, L., Sternitzke, M. and Derby, B. ( 1996). Silicon Carbide Particle Size Effects in Alumina-based Nanocomposites, Acta Mater., 44: 4543-4552.
2.
Sternitzke, M., Klatt, M., Twigg, P. and Derby, B. (1998). SiC Particle Size Related Properties in Alumina Matrix Nanocomposites, Silic. Indus. , 63: 129-135.
3.
Wang, H.Z., Gao, L. and Guo, J.K. ( 1999). Effect of SiC Particle Size on Al2O3-SiC Nanocomposites, Inorg. Mater., 14: 679-683.
4.
Wang, H.Z., Gao, L. and Guo, J.K. ( 2000). The Influence of SiC Particle Size on Microstructure and Mechanical Properties of Al2O3-SiC Nanocomposites, J. Adv. Mater., 33: 60-64.
5.
Kojima, Y., Usuki, A., Kawasumi, M., Okada, A., Fukushima, Y., Kurauchi, T. and Kamigaito, O. ( 1993). Mechanical Properties of Nylon 6-Clay Hybrid, J. Mater. Res., 8: 1185-1189.
6.
Brune, D.A. and Bicerano, J. ( 2002). Micromechanics of Nanocomposites: Comparison of Tensile and Compressive Elastic Moduli, and Prediction of Effects of Incomplete Exfoliation and Imperfect Alignment on Modulus, Polymer, 43: 369-387.
7.
Fornes, T.D. and Paul, D.R. (2003). Modeling Properties of Nylon 6/Clay Nanocomposites Using Composite Theories, Polymer, 44: 4993-5013.
8.
Cammarata, R.C. (1994). Surface and Interface Stress Effects in Thin Films, Prog. Surf. Sci., 46: 1-38.
9.
Rice, J.R. and Chang, T.J. ( 1981). Energy Variations in Diffusive Cavity Growth, J. Am. Ceram. Soc., 64: 46-53.
10.
Miller, R.E. and Shenoy, V.B. (2000). Size-Dependent Elastic Properties of Nanosized Structural Elements, Nanotechnology , 11: 139-147.
11.
Li, Y., Yu, J. and Guo, Z.X. ( 2003). The Influence of Interphase on Nylon-6/Nano-SiO2 Composite Materials Obtained from In Situ Polymerization, Polym. Int. , 52: 981-986.
12.
Luo, J.J. and Daniel, I.M. (2003). Characterization and Modeling of Mechanical Behavior of Polymer/Clay Nanocomposites, Compos. Sci. Technol., 63: 1607-1616.
13.
Lim, T.C. (2003). Mathematical Connections Between Bond-Stretching Potential Functions, J. Math. Chem. , 33: 29-37.
14.
Lim, T.C. (2003). Spring Constant Analogy for Estimating Stiffness of a Single Polyethylene Molecule, J. Math. Chem., 34: 151-161.
15.
Mayo, S.L., Olafson, B.D. and Goddard III, W.A. ( 1990). DREIDING - A Generic Force-Field for Molecular Simulations , J. Phys. Chem., 94: 8897-8909.
16.
Rappe, A.K., Casewit, C.J., Colwell, K.S., Goddard III, W.A. and Skiff, W.M. ( 1992). UFF, A Full Periodic-Table Force-Field for Molecular Mechanics and Molecular Dynamics Simulations, J. Am. Chem. Soc., 114: 10024-10035.
17.
Lim, T.C. (2003). Elastic Properties of a Polyethylene Single-Molecule, J. Math. Chem., 34: 215-220.
18.
Halpin, J.C. ( 1969). Stiffness and Expansion Estimates for Oriented Short Fiber Composites, J. Compos. Mater., 3: 732-734.
19.
Adams, D. and Doner, D. ( 1967). Transverse Normal Loading of a Unidirectional Composite , J. Compos. Mater., 1: 152-164.
20.
Kaye, G.W.C. and Laby, T.H. ( 1995). Tables of Physical and Chemical Constants, 16th edn, Longman, Essex .
21.
Tandon, G.P. and Weng, G.J. (1984). The Effect of Aspect Ratio of Inclusions on the Elastic Properties of Unidirectionally Aligned Composites, Polym. Compos., 5: 327-333.
